Answer:
Step-by-step explanation:
A habit is something that you do often or regularly.
He has an endearing habit of licking his lips when he's nervous. [+ of]
Many people add salt to their food out of habit, without even tasting it first.
...a survey on eating habits in the U.K.
Answer:
y = 10(½)^(x)
Step-by-step explanation:
In writing exponential functions passing through points, we will just substitute the x and y values in each case into y = ab^(x).
Now, for point (-1, 20), the exponential function is; 20 = ab^(-1)
20 = a/b
For the point (1, 5), the exponential function is; 5 = ab^(1)
5 = ab
From 20 = a/b, we have; a = 20b
Thus, putting 20b for a in 5 = ab, we have;
5 = 20b(b)
b² = 5/20
b² = 1/4
b = √(1/4)
b = 1/2
Since a = 20b, then;
a = 20 × 1/2
a = 10
Thus, from y = ab^(x), we have;
y = 10(½)^(x)
Answer:
9.6cm
Step-by-step explanation:
653 divided by 7= 93 2/7
456 divided by 4= 114
2354 divided by 9= 261 5/9
Answer:
![\displaystyle{-10 \leq x \leq 6}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B-10%20%5Cleq%20x%20%5Cleq%206%7D)
[-10, 6] in interval notation form
Step-by-step explanation:
To determine the domain of graph, we can use the structure of:
if the points are closed - it means they have solid colors.
Use
or
if the points are opened - it means they do not have any solid colors, in other word, they are white points.
where
is initial point (from left side) and
is final point (from right side). Since domain is set of all x-values, we will only be looking where the points are located at which x-value.
The initial point from left side is at x = -10 and the final point from right side is at x = 6. Follow the structure:
![\displaystyle{x_1 = -10}\\\displaystyle{x_2 = 6}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7Bx_1%20%3D%20-10%7D%5C%5C%5Cdisplaystyle%7Bx_2%20%3D%206%7D)
Therefore, our domain is
and we use
because those points are closed - they are solid as seen in the image.
In case if you want to use interval notation, it'd be
. We use
or
to represent that the points are closed while using normal bracket ( or ) will represent that the points are opened.